System and method for precessing an optical path using cylindrical coordinates to access data locations in a holographic memory

ABSTRACT

Systems and methods for steering an optical path to gain access to data locations in a holographic memory cell (HMC). One of the systems includes: (1) a reflective element, locatable proximate a first focal plane of a complex, spatially-modulated incident beam of light, (2) a polar steering mechanism, coupled to the reflective element, that orients the reflective element according to desired tilt and precession angles to steer the incident beam in a desired direction and (3) a refractive element that refracts the beam reflected from the reflective element to create a second focal plane for the beam, the HMC locatable proximate the second focal plane to receive the beam at a location thereon that is a function of the desired direction.

TECHNICAL FIELD OF THE INVENTION

The present invention is directed, in general, to holographic memory cells (HMCs) and, more specifically, to an optical system for accessing data locations in a holographic memory.

CROSS-REFERENCE TO RELATED APPLICATIONS

The present invention is related to that disclosed in:

1. U.S. patent application Ser. No. 08/881,579, entitled "System and Method Using Linear Translation to Access Data Locations in a Holographic Memory" and filed concurrently herewith;

2. U.S. patent application Ser. No. 08/881,540, entitled "System and Method For Steering Focal Plane Data to Access Data Locations in a Holographic Memory" and filed concurrently herewith;

3. U.S. patent application Ser. No. 08/881,736, entitled "System and Method for Steering Fresnel Region Data to Access Data Locations in a Holographic Memory" and filed concurrently herewith;

4. U.S. patent application Ser. No. 08/881,572, entitled "System and Method for Steering Focal Plane Data Using Cylindrical Coordinates to Access Data Locations in a Holographic Memory" and filed concurrently herewith; and

5. U.S. patent application Ser. No. 08/881,404, entitled "System and Method for Steering Fresnel Region Data Using Cylindrical Coordinates to Access Data Locations in a Holographic Memory" and filed concurrently herewith.

Each reference is commonly assigned with the present invention.

BACKGROUND OF THE INVENTION

Most modern processing systems, including personal computers (PCs), rely on one form or another of optical data storage. For example, CD-ROM drives are now standard equipment on nearly all new PCs. Nearly all multimedia software, including video games, maps, encyclopedias, and the like, are sold on CD-ROM. Also, compact discs are the most prevalent storage medium for musical recording. More recently, digital video disc (DVD) technology has been introduced that will expand the storage capacity of standard CD technology from about one-half gigabyte to about five gigabytes.

The large storage capacities and relatively low costs of CD-ROMs and DVDs have created an even greater demand for still larger and cheaper optical storage media. Many large businesses rely on jukebox-style CD changers in order to access a particular one of potentially hundreds of discs. Motion pictures released in optical storage format still require multiple CDs, DVDs or oversized laser discs. However, it appears that the limits of CD-ROM and DVD technology are being reached. In order to continue to improve the capacity and speed of optical storage systems, research increasingly focuses on holographic storage devices capable of storing hundreds of gigabytes in a CD-sized storage medium.

A number of holographic data storage systems have been developed that are capable of storing and retrieving an entire page of data at a time. In these systems, data to be stored is first encoded in a two dimensional (2D) optical array, for example on a liquid crystal display (LCD) screen, which is one type of spatial light modulator (SLM). Another type of SLM is Texas Instruments' Digital Mirror Device, which is a reflective device that allows the reflectivity of each pixel to be changed. The term "SLM" also includes fixed masks of varying optical density, phase, or reflectivity.

A first laser beam, a plane wave, is transmitted through the SLM and picks up an intensity and/or phase pattern from the data squares or rectangles (pixels) in the 2D array. This data-encoded beam, called an object beam, is ultimately projected onto and into a light-sensitive material, called a holographic memory cell (HMC). A second laser beam, called a reference beam, is also projected onto and into the holographic memory cell. The object beam and the reference beam then cross at the HMC to produce an interference pattern throughout a volume element of the HMC. This unique interference pattern induces material alterations in the HMC that generate a hologram.

The formation of the hologram in the holographic memory cell is a function of the relative amplitudes and polarization states of, and the phase differences between, the object beam and the reference beam. It is also highly dependent on the incident angles at which the object beam and the reference beam were projected onto the holographic memory cell. After hologram storage, the data beam may be reconstructed by projecting into the HMC a reference beam that is the same as the reference beam that produced the hologram. The hologram and the reference beam then interact to reproduce the data-encoded object beam, which may then be projected onto a two-dimensional array of light sensitive detectors which read back the data by sensing the pattern of light and dark pixels.

The object beam produced by the spatial light modulator has a high space-bandwidth product (SBP). The SBP of a beam is equal to the number of resolvable pixels the beam contains. For example, the 800×600 pixel image produced by a SVGA computer monitor has a SBP of 480,000. When high SBP beams are projected into a holographic memory cell, it is important to keep the optical path lengths traversed by the beams constant. Otherwise, the high SBP image will go out of focus and the data will be lost.

Maintaining a constant optical path length in order to keep the high SBP image of the object beam in focus necessarily makes it difficult to steer the object beam to different areas on the surface of the holographic memory cell, because such steering frequently causes the optical path length to change. However, many holographic memory systems incorporate reference beams whose SBP=1. Because of the small reference beam SBP, such a holographic data storage system can project its reference beam through an acousto-optic cell, which diffracts the reference beam through an optical system, such as a 4-f imaging system, that has a fixed optical path length. Altering the frequency of the acoustic wave changes the angle at which the reference beam is diffracted and therefore incident to the surface of the holographic memory cell. Systems using such angle-tuned reference beam steering are known as "angle multiplexing" systems and are distinguished by their capability to project different pages of data into the same location on the surface of the holographic memory cell, but at different angles of reference-beam incidence. The data is then retrieved by steering the interrogating reference beam at different angles of incidence. However, these prior art systems are inadequate to steer a high SBP beam, such as a typical object beam, to different areas of the holographic memory cell because of their inherent limitations with respect to space-bandwidth product throughput. These prior art systems are also limited in their capability to accurately position a high SBP object or reference beam at a desired position on the holographic memory cell.

Accordingly, there is a need in the art for improved optical systems that are capable of steering high space-bandwidth product beams to different regions on the surface of a holographic memory cell without causing the beam to lose focus. There is a further need in the art for improved optical systems capable of steering high space-bandwidth product images in more than one dimension in a coordinate system.

SUMMARY OF THE INVENTION

To address the above-discussed deficiencies of the prior art, the present invention provides systems and methods for steering a complex, spatially-modulated incident beam of coherent light to gain access to data locations in an HMC. One of the systems includes: (1) a reflective element, locatable proximate a first focal plane of the incident beam, (2) a polar steering mechanism, coupled to the reflective element, that orients the reflective element according to desired tilt and precession angles to steer the incident beam in a desired direction and (3) a refractive element that refracts the beam reflected from the reflective element to create a second focal plane for the beam, the HMC locatable proximate the second focal plane to receive the beam at a location thereon that is a function of the desired direction.

The present invention therefore introduces the broad concept of precessing a reflective element, such as a mirror, to read or write to different locations on a HMC.

In one embodiment of the present invention, the first focal plane is a Fourier plane. Alternatively, the first focal plane may be an image plane.

In one embodiment of the present invention, the second focal plane is an image plane. Alternatively, the second focal plane may be a Fourier plane.

In one embodiment of the present invention, the refractive element is a convex lens. Alternatively, the refractive element may be a concave lens, provided that other elements are included to focus the beam.

In one embodiment of the present invention, the HMC is substantially planar. However, the present invention is employable with nonplanar HMCs, should they be advantageous in a given application.

The foregoing has outlined, rather broadly, various embodiments of the present invention so that those skilled in the art may better understand the detailed description of the invention that follows. More specific embodiments of the invention will be described hereinafter that form the subject of the claims of the invention. Those skilled in the art should appreciate that they can readily use the disclosed conception and specific embodiments as a basis for designing or modifying other structures for carrying out the same purposes of the present invention. Those skilled in the art should also realize that such equivalent constructions do not depart from the spirit and scope of the invention in its broadest form.

BRIEF DESCRIPTION OF THE DRAWINGS

For a more complete understanding of the present invention, reference is now made to the following descriptions taken in conjunction with the accompanying drawings, in which:

FIG. 1A illustrates a conventional single lens imaging system;

FIG. 1B illustrates a conventional single lens Fourier transforming system;

FIG. 2 illustrates a conventional 4-f (four f) imaging system;

FIG. 3 illustrates a precession imaging system according to a first embodiment of the present invention;

FIG. 4 illustrates an exemplary steering system for precessing an object beam according to a second embodiment of the present invention; and

FIG. 5 illustrates a holographic memory system according to a third embodiment of the present invention.

DETAILED DESCRIPTION

FIG. 1A illustrates a conventional single lens imaging system 10. Although single lens systems are well known, single lens system 10 is described here in detail so that the descriptions of the present invention which follow may be more clearly understood. Single lens system 10 comprises spatial light modulator (SLM) 12 and thin convex lens 16. Lens 16 has two focal points. Focal point X lies in plane 14, shown as a dotted line, one focal length, f, away from lens 16. On the opposite side of lens 16, focal point Y lies in plane 18, shown as a dotted line, one focal length, f, away from lens 16. SLM 12 comprises, for example, a liquid crystal display (LCD) screen on which data is encoded in a two-dimensional (2D) pattern of transparent and opaque pixels. SLM 12 and lens 16 are positioned orthogonally to optical path 22, shown as a dotted line. If a thin lens having a focal length, f, is positioned at a distance, s, from an input object, the lens will form an output image at a distance, d, on the opposite side of the lens, according to the thin lens equation: 1/f=(1/s+1/d). In the configuration shown in FIG. 1A, SLM 12 is positioned at a distance, s, from lens 16, so that the output image of SLM 12 is formed at plane 20, shown as a dotted line, at a distance, d, away from lens 16. In selected embodiments of the present invention described below, s, d, and f are selected so that s=d=2f, and the total separation, s+d, between SLM 12 and its output image is therefore 4f.

FIG. 1B illustrates a conventional single lens Fourier transforming system 100. Although Fourier transforms of input objects are well known, Fourier transform system 100 is described here in detail so that the descriptions of the present invention which follow may be more clearly understood. An object beam of coherent laser light is projected through SLM 102 and picks up the encoded data pattern and propagates distance f₁ to reach lens 104. The object beam passes through lens 104 and propagates distance f₁ again to reach Fourier plane 106. At the Fourier plane, all of the object beam's positional information becomes angular information and all of the object beam's angular information becomes positional information.

This phenomenon may be understood by reference to light beams 111 and 113, which emanate from point A on SLM 102, and to light beams 112 and 114, which emanate from point B on SLM 102. The small pixels in the 2D-array pattern on SLM 102 form small apertures that cause diffraction of the object beam as it passes through SLM 102. Thus, light emanates outward from points A and B over a broad range of directions. Light beams 111 and 112 are parallel to one another and propagate perpendicularly outward from SLM 102. Light beams 113 and 114 are also parallel to one another but propagate outward at an oblique angle from SLM 102. Since light beams 111 and 112 are parallel, their angles of incidence at lens 104 are the same. Similarly, since light beams 113 and 114 are parallel, their angles of incidence at lens 104 are the same.

As is well known, it is a property of a thin lens, such as lens 104, that parallel light beams that pass through the lens are focused (converged) by the lens to the same point at the Fourier plane. Thus, parallel beams 111 and 112 converge at point D in Fourier plane 106, even though beams 111 and 112 emanate from different points at SLM 102. Similarly, parallel beams 113 and 114 converge at point C in Fourier plane 106, even though beams 113 and 114 emanate from different points at SLM 102.

It is also a property of a thin lens, such as lens 104, that light beams emanating at different angles (i.e., nonparallel) from the same point at the input object (SLM 102) become parallel light beams after passing through the thin lens. Thus, light beams 111 and 113, which emanate at different angles (i.e., nonparallel) from point A at SLM 102, become parallel to each other after passing through lens 104 and therefore have the same angles of incidence at points C and D in Fourier plane 106. Likewise, light beams 112 and 114, which emanate at different angles (i.e., nonparallel) from point B at SLM 102, become parallel to each other after passing through lens 104 and therefore have the same angles of incidence at points C and D in Fourier plane 106.

From the foregoing, it can be seen that the position at which a beam of light is incident on Fourier plane 106 is determined by the angle (not the position) at which it left SLM 102. Similarly, it can be seen that the angle at which a beam of light is incident on Fourier plane 106 is determined by the position (not the angle) at which it left SLM 102. Therefore, as was stated above, at the Fourier plane, all of the object beam's positional information becomes angular information and all of the object beam's angular information becomes positional information.

FIG. 2 illustrates a conventional 4-f (four f) imaging system 200. The configuration of 4-f imaging system 200 shown in FIG. 2 is referred to as "infinite conjugate." Although 4-f imaging systems are well known, 4-f imaging system 200 is described here in detail so that the descriptions of the present invention which follow may be more clearly understood. 4-f imaging system 200 comprises spatial light modulator (SLM) 202, thin convex lens 204, which has a focal length, f₁, and thin convex lens 208, which has a focal length, f₂, where f₁ and f₂ may or may not be equal. SLM 202 comprises, for example, a liquid crystal display (LCD) screen on which data is encoded in a 2D-array pattern of transparent and opaque pixels. SLM 202, lens 204 and lens 208 are positioned orthogonally to optical path 215, shown as a dotted line conincident with solid line 222.

A plane wave object beam of coherent laser light is projected through SLM 202, picks up the encoded data pattern, and propagates distance f₁ to reach lens 204. The object beam, represented by light beams 221-223, passes through lens 204 and propagates distance f₁ again to reach Fourier plane 206. As explained above with respect to FIG. 1B, at Fourier plane 206, all of the object beam's positional information becomes angular information and all of the object beam's angular information becomes positional information.

The image formed at Fourier plane 206 is the input object for lens 208. From Fourier plane 206, the object beam propagates distance f₂ to reach lens 208. After passing through lens 208, the object beam finally propagates distance f₂ to reach output image plane 210, where the input data image at SLM 202 is reconstructed. Output image plane 210 is the Fourier plane for plane 206, as well as the output image plane for the plane in which SLM 202 lies. Thus, the image formed at output image plane 210 by lens 208 is the Fourier image of the Fourier image formed at Fourier plane 206 by lens 204.

As light beams 221-223 show, the input data image formed at output image plane 210 is inverted with respect to its appearance at SLM 202. Therefore, if a holographic memory cell was positioned at output image plane 210, the inverted image of the 2D-array pattern at SLM 202 would be stored as a page of data in the holographic memory cell. A separate reference beam of laser light (not shown) would be required in order to store the data image.

In alternate embodiments of the above-described optical systems, the spatial light modulator may be positioned between the initial lens and the following Fourier plane. An object beam that is incident to the initial lens will be converged by the initial lens, but will pick up the encoded data from the SLM after, rather than before, the initial lens. In such a configuration, the size (positions) of the Fourier orders vary linearly with the distance between the SLM and the following Fourier plane. Additionally, the incident angles of the beams will vary according to the position of the SLM.

FIG. 3 illustrates precession imaging system 300 according to a first embodiment of the present invention. As will be explained below in greater detail, precession imaging system 300 allows the image that is focused on holographic memory cell (HMC) 310 to be translated on the surface of HMC 310 in a polar coordinate system, according to a radius, R, produced by the tilt of mirror 305, and an angle, ω, produced by the precession of mirror 305.

Light source 301 emits a planar wave object beam, such as a beam of coherent laser light, towards spatial light modulator (SLM) 302. SLM 302 comprises, for example, a liquid crystal display (LCD) screen on which data is encoded in a two-dimensional (2D) pattern of transparent and opaque pixels. The data-encoded object beam then passes through imaging system 304, such as the single lens imaging system in FIG. 1A, or the 4-f imaging system in FIG. 2.

Lens 303 is representative of the last lens in imaging system 304 through which the object beam passes and therefore may be the equivalent of lens 16 in FIG. 1A or the equivalent of lens 208 in FIG. 2. Mirror 305 is positioned one focal length, f, away from lens 303. Mirror 305, therefore, is positioned at either the Fourier focal plane or the output image focal plane of the original SLM image. In either case, rotatable mirror 305 rotates through an angle, θ, and reflects the Fourier or image focal plane image of the input object through lens 306 towards holographic memory cell (HMC) 310.

Lens 306 is positioned one focal length, f, away from mirror 305 and HMC 310 is positioned one focal length, f, away from lens 306. The image formed on mirror 305 is the input object to lens 306, which produces its own Fourier transform at HMC 310. It will be recalled that positional information at the input object plane becomes angular information at the Fourier transform plane and that angular information at the input object plane becomes positional information at the Fourier transform plane. Therefore, the angular displacement, θ, of the image reflected by rotatable mirror 305 produces a corresponding positional displacement, ΔR, of the image reflected by mirror 305 at HMC 310. Thus, rotation of mirror 305 from a first or "original" position, indicated by solid lines, to a second or "rotated" position, indicated by dotted lines, produces a displacement, ΔR, of the image at HMC 310, where ΔR=f(tan θ). Thus, the value of θ determines the value of the radius in the polar coordinate system.

Dotted line A, hereafter referred to as "axis A," is a normal drawn perpendicular to the center of the surface of mirror 305 in its original (non-rotated) position. Dotted line B, hereafter referred to as "axis B," is a normal drawn perpendicular to the center of the surface of mirror 305 in its rotated position. Mirror 305 is precessed by rotating axis B around axis A, so as to describe a cone. The angle of precession, ω, is the value of the angle in the polar coordinate system.

Precession of mirror 305 causes the image to follow circular path 312 on the surface of HMC 310. When mirror 305 is first rotate by an angle, θ, the normal lies in axis B at an angle of precession, ω₁, and the image on HMC 310 is translated ΔR to the point ω₁. As axis B is precessed around axis A to an angle of precession, ω₂, the image on HMC 310 translates to the point ω₂, which is also ΔR away from the center of circular path 312.

FIG. 4 illustrates exemplary steering system 400 for precessing an object beam according to a second embodiment of the present invention. Steering system 400 comprises precession control 405, tilt control 410, tilt arm 415, rod 420 and mirror 305. The original, non-rotated position of mirror 305 is shown in dotted lines. In the non-rotated position, rod 420 lies in axis A, shown as a dotted line. The rotated position of mirror 305 is shown in solid lines. In the rotated position, rod 420 lies in axis B, shown as a dotted line.

Tilt control 410 extends or retracts tilt arm 415 to the left or right to rotate mirror 305 to tilt angle θ. Tilt arm 415 is curved such that rod 420 is always perpendicular to center point X on the face of mirror 305 and the position of center point X is kept constant with respect to the incident object beam, although the orientation of the surface of mirror 305 changes according to tilt angle θ and precession angle ω. After tilt control 410 rotates mirror 305 to tilt angle θ, precession control 405 rotates to precession angle ω, thereby rotating tilt control 410 and tilt arm 415 such that rod 420, which lies in axis B, precesses around axis A.

Steering system 400 is merely one example of a precession control device. Mirror 305 may be rotated and/or precessed by any known suitable mechanical means. The types and variety of precession control devices are too numerous to describe here in detail. In any event, the specific type of precession/rotation means used in any implementation to rotate and/or precess mirror 305 will usually depend to some degree on the requirements of the system in which precession imaging system 300 or 400 is incorporated.

In alternate embodiments of the present invention, the steering systems described above may be used for coarse control steering of the object beam across the holographic memory cell, while fine control scanning may be achieved by physically translating the SLM before imaging. It will be appreciated by those skilled in the art that translating the SLM by an amount R produces a translation of the output image by an amount -R(f₂ /f₁) in a 4f imaging system, where f₁ is the focal length of the first lens the object beam encounters and f₂ is the focal length of the second lens the object beam encounters. It will also be appreciated by those skilled in the art that translating the SLM by an amount R produces a translation of the output image by an amount -R(d/s) in a single lens imaging system.

Image steering systems that translate the SLM are described in greater detail in U.S. patent application Ser. No. (Attorney Docket No. CAMPBELL 6-14-3), entitled "System and Method Using a Translating Reference Mask to Access Data Locations in a Holographic Memory" and filed concurrently herewith.

The above-described beam steering systems may be further improved by using a "mirror image" setup of mirrors and lenses on the opposing side of the holographic memory cell. In this way, data may be steered onto two sides of the HMC simultaneously. As will be explained below in connection with FIG. 5, a "mirror image" optical setup on the opposing side of the HMC may also be used to retrieve data from the HMC, if the spatial light modulator is replaced with a two-dimensional array of light sensitive detectors.

FIG. 5 illustrates holographic memory system 500 according to a third embodiment of the present invention. Mirror 505 and lens 510 comprise a beam steering system for steering object beam 520 (shown as a dotted line) onto holographic memory cell (HMC) 515. Object beam 520 may be received from either a 4f imaging system or a single lens imaging system.

As previously described, reference beam 525 (shown as a solid line) and object beam 520 interact to produce a holographic image at a selected position. The position is determined by the tilt angle θ₁ and precession angle ω₁ of mirror 505. The hologram is a function of the relative amplitudes and polarization states of, and the phase differences between, object beam 520 and reference beam 525, and the angles at which object beam 520 and reference beam 525 are projected onto HMC 515.

Data is retrieved using lens 530 and mirror 535, which comprise a "mirror image" of lens 510 and mirror 505. Object beam 520 may be reconstructed by projecting reference beam 525 into HMC 515 at the same angle and position used to produce the hologram. The hologram and reference beam 525 interact to reproduce the reconstructed object beam 545 (shown as a solid line). The desired data page may be selected by tilting and precessing mirror 535 to the same tilt angle, θ₂, and precession angle ω₂, to which mirror 505 was tilted and precessed when the holograph was formed (i.e., θ₁ =θ₂, and ω₂ =ω₂. Reconstructed object beam 545 is then projected onto light sensitive detector 540, which reads back the data by sensing the pattern of light and dark pixels. Advantageously, lens 530 and mirror 535 not only "de-steer" reconstructed object beam 545 onto detector 540, but they also correct for off-axis distortion effects that may be caused by mirror 505 and lens 510.

Although the above-described beam steering systems are used to steer an object beam to selected positions on a holographic memory cell, this is by way of illustration only and should not be construed to limit the scope of the present invention in any way. Those skilled in the art will appreciate that the beam steering systems disclosed herein may be readily adapted to steer a reference beam instead.

Although the present invention has been described in detail, those skilled in the art should understand that they can make various changes, substitutions and alterations herein without departing from the spirit and scope of the invention in its broadest form. 

What is claimed is:
 1. A system for steering a complex, spatially-modulated incident beam of coherent light to gain access to data locations in a holographic memory cell (HMC), comprising:a reflective element, locatable proximate a first focal plane of said incident beam; a polar steering mechanism, coupled to said reflective element, that orients said reflective element according to desired tilt and precession angles to steer said incident beam in a desired direction; and a refractive element that refracts said beam reflected from said reflective element to create a second focal plane for said beam, said HMC locatable proximate said second focal plane to receive said beam at a location thereon that is a function of said desired direction.
 2. The system as recited in claim 1 wherein said first focal plane is a Fourier plane.
 3. The system as recited in claim 1 wherein said second focal plane is an image plane.
 4. The system as recited in claim 1 further comprising an incident beam of coherent light having a space bandwidth product (SBP) of at least
 100. 5. The system as recited in claim 1 wherein said reflective element is a mirror.
 6. The system as recited in claim 1 wherein said refractive element is a convex lens.
 7. The system as recited in claim 1 wherein said HMC is substantially planar.
 8. A method of steering a complex, spatially-modulated incident beam of coherent light to gain access to data locations in a holographic memory cell (HMC), comprising the steps of:orienting a reflective element, locatable proximate a first focal plane of said incident beam, according to desired tilt and precession angles to steer a complex, spatially-modulated incident beam in a desired direction; and refracting said beam reflected from said reflective element to create a second focal plane for said beam, said HMC locatable proximate said second focal plane to receive said beam at a location thereon that is a function of said desired direction.
 9. The method as recited in claim 8 wherein said first focal plane is a Fourier plane.
 10. The method as recited in claim 8 wherein said second focal plane is an image plane.
 11. The method as recited in claim 8 further comprising the step of radiating an incident beam of coherent light having a space bandwidth product (SBP) of at least
 100. 12. The method as recited in claim 8 wherein said reflective element is a mirror.
 13. The method as recited in claim 8 wherein said refractive element is a convex lens.
 14. The method as recited in claim 8 wherein said HMC is substantially planar.
 15. A system for storing data, comprising:a light source; a spatial light modulator located to modulate a complex, spatially-modulated beam of coherent light received from said light source; a reflective element, located proximate a first focal plane of said beam; a polar steering mechanism, coupled to said reflective element, that orients said reflective element according to desired tilt and precession angles to steer said incident beam in a desired direction; a refractive element that refracts said beam reflected from said reflective element to create a second focal plane for said beam; and a substantially planar holographic memory cell (HMC), located proximate said second focal plane, that receives said beam at a location thereon that is a function of said desired direction.
 16. The system as recited in claim 16 wherein said first focal plane is a Fourier plane.
 17. The system as recited in claim 16 wherein said second focal plane is an image plane.
 18. The system as recited in claim 16 further comprising an incident beam of coherent light having a space bandwidth product (SBP) of at least
 100. 19. The system as recited in claim 16 wherein said reflective element is a mirror.
 20. The system as recited in claim 16 wherein said refractive element is a convex lens. 